水下结构振动特征值分析的有限元-边界元法研究  

Coupled FE/BE method for the eigenanalysis of submerged structures

作　　者：陈磊磊 胡昊文 张伟 乔扬 郑昌军[3] CHEN Lei-lei;HU Hao-wen;ZHANG Wei;QIAO Yang;ZHENG Chang-jun(Xinyang Normal University,Xinyang 464000,China;Department of Mechanical Engineering,Hefei University,Hefei 230601,China;Institute of Sound and Vibration Research,Hefei University of Technology,Hefei 230009,China)

机构地区：[1]信阳师范学院建筑与土木工程学院,河南信阳464000 [2]合肥学院机械工程系,合肥230601 [3]合肥工业大学噪声振动工程研究所,合肥230009

出　　处：《船舶力学》2020年第9期1196-1204,共9页Journal of Ship Mechanics

基　　金：国家自然科学基金项目(11872168,11702238);河南省科技攻关项目(172102210453);河南省高等学校重点科研项目(17A560009);信阳师范学院“南湖学者奖励计划”青年项目。

摘　　要：本文运用围道积分法将有限元-边界元法所形成的非线性特征值问题转化为规模很小的线性特征值问题,从而构造出一种水下结构的振动特征值分析方法。其中采用Burton-Miller法规避了常规边界积分方程方法的虚假特征频率问题,并对所采用的围道积分方法做了一些改进。数值算例验证了本文所构造的水下结构振动特征值分析方法的求解精度,以及在求解效率上的优势。A coupled FE/BE method is developed for the eigenanalysis of submerged structures.A contour integral method is utilized to convert the FE/BE nonlinear eigenvalue problem into a small linear eigenvalue problem.Fictitious eigenfrequency problem of the conventional boundary integral equation method is circumvented through the Burton-Miller method.Also some modifications are made to improve the efficiency of the used contour integral method.Numerical examples are employed to verify the effectiveness and efficiency of the developed method.

关 键 词：有限元法 边界元法 流固耦合 虚假特征频率 Burton-Miller法 

分 类 号：O242.2[理学—计算数学]